Find the approximate change in volume of a cube of side caused by a increase in its side.

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Find the approximate change in volume of a cube of side

x\,\text{cm}

caused by a

1\%

increase in its side. (a)

1\%

(b)

\frac13\%

(c)

3\%

(d)

33\%